Ms-Brains
  • Ms-Brains
Help with a study guide question, i will give best response. (Attached file.) Please Help me! I'm study for a big test
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Ms-Brains
  • Ms-Brains
1 Attachment
freckles
  • freckles
apply distributive property where possible distributive property says a(b+c) is equal to ab+ac I see you have 3(x-y) apply distributive property there
freckles
  • freckles
you can tell me what you get when you apply distributive property to 3(x-y)?

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Ms-Brains
  • Ms-Brains
3xy? or 3(y-x) p Idk how to do the distributive property
freckles
  • freckles
you do see distributive property is a(b+c)=ab+ac we are taking the outer number and multiplying it to both terms inside the ( )?
freckles
  • freckles
example 6(2+7) is the same as 6*2+6*7 though we didn't need distributive property here because we know what 2+7 is... 6(2+7)=6(9)=54 but we see we get the same number using the distributive property 6(2+7)=6*2+6*7=12+42=54
freckles
  • freckles
here we can't do y take away x because we don't know what x and y are so you have to apply distributive property here where you have 3(x-y)
freckles
  • freckles
3(x-y) is the same as 3x-3y
freckles
  • freckles
\[3x+4y+3(x-y)-4x \\ 3x+4y+3x-3y-4x\]
freckles
  • freckles
now using that addition is commutative to place like terms together
freckles
  • freckles
commutative property is just changing the order
Ms-Brains
  • Ms-Brains
so for the first slot it's written like 3x+4y+3x-3y-4y = Distributive property??
freckles
  • freckles
almost
freckles
  • freckles
you want to leave that last term as it was we didn't do anything to it
Ms-Brains
  • Ms-Brains
Umm, how do you write exactly? I'm a little lost on what your saying...sorry
freckles
  • freckles
should be 3x+4y+3x-3y-4x by use of the distributive property
freckles
  • freckles
-4x doesn't just turn into -4y
Ms-Brains
  • Ms-Brains
Oh! I got it! Okay give me a sec to write it, and then we can move to the next slot?
Ms-Brains
  • Ms-Brains
I got it! so next one?
freckles
  • freckles
have you tried changing the order to put like terms together yet? that was what I suggested above.... I also gave the name of this property too. :) You try it and I will check it.
Ms-Brains
  • Ms-Brains
Wait, what do you want me to do?
freckles
  • freckles
change the order so like terms are together
freckles
  • freckles
like terms are terms with the same variable part
freckles
  • freckles
you should see three terms that have the common variable x you should see two terms that have the common variable y
freckles
  • freckles
put all your x terms together and put all your y terms together
Ms-Brains
  • Ms-Brains
10x +7y Like that?
Ms-Brains
  • Ms-Brains
@freckles
freckles
  • freckles
like if I had a+a+b+a+b-4a reorder so that like terms are together a+a+a-4a+b+b
Ms-Brains
  • Ms-Brains
3x+3x+4x=10x 4y+3y=7
Ms-Brains
  • Ms-Brains
^^ That?
freckles
  • freckles
you shouldn't change the sign in front of the term you had 3x+4y+3x-3y-4x by commuative property we can write this as 3x+3x-4x+4y-3y
Ms-Brains
  • Ms-Brains
Oh... I was supposed to add all the X's in order, and all the y's after that?
freckles
  • freckles
Example: \[a+a+b+a+4(\frac{1}{4}b-a) \text{ given } \\ a+a+b+a+4 \cdot \frac{1}{4} b-4a \text{ by distributive property } \\ a+a+b+a+b-4a \text{ by simplification } \\ a+a+a-4a+b+b \text{ by commutative property } \\ (a+a+a-4a)+(b+b) \text{ by associative property } \\ a(1+1+1-4)+b(1+1) \text{ by distributive property } \\ a(-1)+b(2) \text{ by simplification } \\ -a+2b \text{ by commautive property }\]
freckles
  • freckles
anyways I be back I have thing
Ms-Brains
  • Ms-Brains
Wait you're leaving?! I thought you'd help me finish the problem??
Ms-Brains
  • Ms-Brains
@freckles COME BACK!!!!!
Ms-Brains
  • Ms-Brains
Math tease.
freckles
  • freckles
Sorry. I had something come up. Anyways I hoped the example helped.

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